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Finding the Fourth Proportional to 77,607.72, 116,406.11 and 27,682.16

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Solution

The fourth proportional to 77,607.72, 116,406.11 and 27,682.16 is: 41,521.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,607.72 : 116,406.11 = 27,682.16 : x
  2. Step 2: Convert to fraction form
    77,607.72/116,406.11 = 27,682.16/x
  3. Step 3: Cross multiply
    77,607.72x = 116,406.11 × 27,682.16
  4. Step 4: Simplify right side
    77,607.72x = 3,222,372,049.17
  5. Step 5: Solve for x
    x = 3,222,372,049.17/77,607.72
  6. Step 6: Final answer
    x = 41,521.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.